8x² + 16x - 62 = -5, solve by completing the square. PLEASE HELP IVE BEEN STRUGGLING FOR HOURS

Answers

Answer 1

Answer:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130\\}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]

Step by step:

Step 1: Subtract -5 from both sides.

8x2+16x−62−(−5)=−5−(−5)

8x2+16x−57=0

For this equation: a=8, b=16, c=-57

8x2+16x+−57=0

(plus-minus) = ±

Step 2: Use quadratic formula with a=8, b=16, c=-57.

x=[tex]\frac{-b(plus-minus)\sqrt{x} b^2-4ac}{2a}[/tex]

x=[tex]\frac{-(16)(plus-minus)\sqrt{(16)^2-4(8)(-57)} }{2(8)}[/tex]

x=[tex]\frac{-16(plus-minus) \sqrt{2080} }{16}[/tex]

ANSWER:

x=-1+[tex]\frac{1}{4}[/tex][tex]\sqrt{130}[/tex] or x=-1+[tex]\frac{-1}{4}[/tex][tex]\sqrt{130}[/tex]


Related Questions

15. Asher weighs 15 pounds less than three times the weight of Audrey, his sister. Asher
weighs 27 pounds. Write an equation that can be used to find w, the weight of Audrey. Then,
solve the equation
Equation:
Solution:

Answers

Answer:

15x-y=27

Step-by-step explanation:

I think if im wrong my apologies haven't done that in a bit

The weight of Audrey will be 14 pounds based on the given equation formation.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the weight of Asher is x then according to the given question,

x = 3w - 15

And, x = 27

27 = 3w - 15

3w = 42

w = 14 pounds

Hence "Weight of Audrey will be 14 pounds based on the given equation formation".

For more about the equation,

https://brainly.com/question/10413253

#SPJ5

Find the 84th term of the arithmetic sequence 18, 31, 44, ...

Answers

Answer:

common difference = 31-18

common difference =13

from,

An=A1 +(n-1)d

A84=18+(84-1)13

A84=1097

Answer:

1097

Step-by-step explanation:

Common Difference:

d=a_2-a_1=(31)-(18)=13

d=a  

2

​  −a  

1

​  =(31)−(18)=13

a_n=a_1+(n-1)d

a  

n

​  =a  

1

​  +(n−1)d

\text{84th term:}

84th term:

a_{84}=18 + (84-1)(13)

a  

84

​  =18+(84−1)(13)

a_{84}=18 + (83)(13)

a  

84

=18+(83)(13)    a_{84}=1097      a  84

​ =1097

Write a number so that the equation will have an infinate number of solutions

3x+5=3x+

Answers

Answer:

3x+5=3x+5

they are both the same line

Answer:

3x+5=3x+5

It is same line

Step-by-step explanation:

SOMEONE PLEASE HELP AND EXPLAIN HOW TO DO THIS!!

Answers

Answer:

Your answer should be B or D.

Step-by-step explanation:

You have to find x. If the first side is 60 degrees and the other is 70 degrees, that means that the last side should be similar to that. yo can use a protractor if you have one, or you can estimate. now for the equation part. once you have the degree for the angle, you need to use the numbers to multiply to get the number. Multiply 8 by all of the numbers. Since the angle is acute, the answer has to be less than 90.

Can some explian this?

Answers

Answer: it’s asking where do the points meet at hopes this helps

Step-by-step explanation:

find the missing side of the triangle please

Answers

the side length of c is 17 cm

Traci is t years old her brother lee is 5 years younger than she is write an expression to represent lee's age

Answers

Answer:

t - 5

Step-by-step explanation:

t is how old Traci is. To find an age that is 5 years younger than her you would have to do t - 5.

A circle has a diameter of 28 feet. What is the
circumference of the circle?

Answers

Answer:

14

Step-by-step explanation:

the answer is 87.96 ft

The gas tank in Manny's car holds 25.05 gallons of gasoline. The car gets 36.05 miles to the gallon.

How many miles can Manny drive on a full tank of gasoline?


A. 875.0025 miles

B. 901.8000 miles

C. 903.0525 miles

D. 930.7500 miles

Answers

Answer:

C. Hope I'm right :)

Step-by-step explanation:

Because 36.05 x 25.05 = 903.0525

Hope I Helped :)

Answer:

ok here is the answer, i didnt copy.

Step-by-step explanation:

the answer is c because search it lol

A bowl contained 49.7 grams of salt. Then, Charlie poured in another 41.14 grams. How much salt does the bowl contain now?

Answers

Answer:

90.84

Step-by-step explanation:

49.7+41.14= 90.84

The variable, k, is being divided by 11. How should you
show your work to isolate the variable?

Answers

Answer:

by multiplying the variable k by 11

Step-by-step explanation:

[tex]\frac{k}{11}[/tex] × 11, this cancels out the 11 in the denominator, which isolates the variable

Answer:

Step-by-step explanation:

Divide both sides by 11

can someone please help me with this, ill give you brainiest, I rlly need help!!

Answers

Answer:

y-2=-6(x-1)

Step-by-step explanation:

Answer:

y=-6x+8

Step-by-step explanation:

A $250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened by a customer. After both discounts are taken what is the total percent discount is

Answers

Answer:

168.75

Step-by-step explanation:

so first you have to do 250 times .75. this is because if you times it by .25 it would be a 75% discount. then you have to do 187.5 times .90 to get your answer

A rectangular prism measures 3 1/2 cm long, 2 1/2 cm wide, and 1 1/2 cm high. How many cubes with side lengths of image cm are needed to fill the prism?


A.13 cubes


B.35 cubes


C.6 cubes


D.105 cubes

Answers

Answer:

D. 105

Step-by-step explanation:

D


Circle D has a circumference of 77 cm and Circle E has a circumference of 147 cm.
What is the similarity ratio between circles D and E?

Answers

Answer:

657

Step-by-step explanation:

Step-by-step explanation:

similarities ratio of circumference = 2πr/2πR = r/R= 77/147= 11/21

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

can anyone answer this for me please ​

Answers

Answer:

10

+

g

9

>

12

Move the negative in front of the fraction.

10

g

9

>

12

Move all terms not containing  

g

to the right side of the inequality.

Tap for more steps...

g

9

>

2

Multiply each term in  

g

9

>

2

by  

1

Tap for more steps...

g

9

<

2

Multiply both sides of the equation by  

9

.

g

<

2

9

Multiply  

2

by  

9

.

g

<

18

The result can be shown in multiple forms.

Inequality Form:

g

<

18

Interval Notation:

(

,

18

)

Step-by-step explanation:


(2,-3) and (4, 8)
Slope = _

Answers

Answer:

11/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(4-2)

m=(8+3)/2

m=11/2

Answer:

slope = 5[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y1 - y2}{x1 - x2\\}[/tex]

Plug in values accordingly:

[tex]\frac{-3 - 8}{2 - 4}[/tex]

Solve:

[tex]\frac{-11}{-2}[/tex]

Simplify:

[tex]\frac{11}{2}[/tex]

Simplify:

5[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

What are the dimensions of the product?

Answers

Answer:2x3

Step-by-step explanation:

3x + 2y = -10
5x + y = 9

Answers

Answer:

x=4, y=-11. (4, -11).

Step-by-step explanation:

3x+2y=-10

5x+y=9

--------------

3x+2y=-10

-2(5x+y)=-2(9)

--------------------

3x+2y=-10

-10x-2y=-18

-----------------

-7x=-28

7x=28

x=28/7=4

5(4)+y=9

20+y=9

y=9-20=-11

brian got in a taxi at 6:20 am and arrived at his destination at 7:10 am how long did his destination take​

Answers

His destination took 50 minutes long

what is the answer i need help

Answers

Answer:

27

Step-by-step explanation:

 add 5+5+7+6+4

Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n

Answers

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

Write the polynomial in standard form. Then classify
the polynomial by the degree and number of terms.
x^2-3x+6x^3-3x+1

Answers

Standard form:6x^3+x^2-6x+1
The degree is 3

round off 3409725 to nearest 10​

Answers

Answer:

10000

Step-by-step explanation:

to know if this answer is correct you have to know the rounding rules:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

can anyone explain how to solve this using %/100 = is/of?

Answers

Answer:

20%/100 = 8 peeps / 40 items in the basket

(40 total items)

Step-by-step explanation:

Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,

1/5 = 8/x

x = 40

40 total items

a. (5x -9) - (2x -7) b. (6x -10) -(2x-8)​

Answers

Answer:

!!

Step-by-step explanation:

(5x-9)-(2x-7)

(5x-2x)-(9-7)

3x-2

2 / 3

x=2/3 or 0.6666666666666667

A school requires that 1 adult accompany every 8 students on a field trip. How many adults are needed to accompany 32 students?

Answers

Answer: 4 adults are needed to accompany 32 students.

Step-by-step explanation:

Given: School requires 1 adult to accompany every 8 students on a field trip.

The number of adults are needed to accompany 32 students = [tex]\dfrac{32}{\text{Number of students accompanied by an adult}}[/tex]

[tex]=\dfrac{32}{8}\\\\=4[/tex]

Hence, 4 adults are needed to accompany 32 students.

Find the slope of (2,6)-(1,3) including all steps.

Answers

Answer:

3

Step-by-step explanation:

(6-3) / (2-1) = 3/1 = 3

pls help is it A. B. C. D.

Answers

Answer:

C

Step-by-step explanation:

Hope I was able to help!! :)

Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?

a.
–26 + (–5)

b.
–26 + 5

c.
26 + (–5)

d.
26 + 5

Answers

The answer is c. Marisa is paying for lunch which is taking away $5. To find out how much money she would have you would subtract 5 dollars from 26
Other Questions
The passage describe the different roles that myokines play throughout the body. According to the passage, the myokine IL-8 helps the body form which of the following?Question 2 options:Liver CellsMore InsulinAbdominal fatNew Capillaries Can somebody help me?? pleasee The state of Georgia has several statewide lottery options. One of the simpler ones is a "Pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. With a bet of $1, you win $390 if your number is selected and nothing ($0) otherwise. (a) With a single $1 bet, what is the probability that you win $390? (b) Let x denote your winnings for a $1 bet, so x = $0 or x = $390. Construct the probability distribution for X. Use 3 decimal places. (c) The mean of the distribution equals ___________ X cents for the dollar paid to play.(d) Would this be considered a gain for you? No. For every $1 I pay, I will lose $0.39 on average. No. For every $1 I pay, I will lose $ 0.61 on average. Yes. For every $1 I pay, I will win $0.39 on average. (e) If you play "PICK 3" 100 times, how much should you expect to lose? Please help me, with the last algebra questions I have. And just to note, a= 2, b= 3, and c=4. *25 points, + brainiest.**Algebra question.* According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance? To celebrate the Valentines Day, Mary is putting magnets on some of the lockers. There are 110 lockers along one side of her school's hallway. She puts a heart magnet on every 4th locker and a flower magnet on every 9th locker. Is this a GCF or an LCM question? What is a combination circuit? A combination circuit: Estelle has 6 liters of juice. If she pours 0.25 liters into each glass, how many glasses of juice will she make? Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls Rogelio pastel. (comer) O comen O comemos O comes come 2x + 5y = -243x - 5y = 14Solve by elimination y and x OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES! PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)? Where does the Humboldt Current turn back out into the Pacific Ocean?PeruColumbiaChileEcuador You deposit $1,000 Into a bank account. The account pays 3.75% annual Interest compounded monthly. Find the balance after 6 years. Round answers to two decimal places Describe a problem youve solved or a problem youd like to solve. It can be an intellectual challenge, a research question, or something you encountered in school anything that is of importance to you, no matter the scale. Explain its significance to you and what steps you took or could take to identify a solution. Please write as an Essay for 20 points WHAT DOES CALORIE MEANS ? Someone said "shin again,There was a wild stamping of hands on the ground,A kicking of feet, and the fitOf laughter overtook me too,And that was important, as importantAs Joe Barone asking me how I wasThrough his tears, picking me upAnd dusting me off with hands like swatters,And though my head felt heavy,I played on till duskWhich role does the first-person point of view play in this excerpt? What is a main difference between Mars and Saturn?1. Mars has a relatively longer distance from the sun and many more moons than Saturn.2. Mars has a relatively shorter year and a higher atmospheric temperature than Saturn.3. Saturn has many more rings and a relatively higher atmospheric temperature than Mars.4. Saturn has many more rings and a relatively shorter year than Mars. Find the height of the triangle if the area is 36 m 2